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Finding the Third Proportional to 838,829,840 and 1,258,244,868

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Solution

The third proportional to 838,829,840 and 1,258,244,868 is: 1,887,367,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,829,840 : 1,258,244,868 = 1,258,244,868 : x
  2. Step 2: Convert to fraction form
    838,829,840/1,258,244,868 = 1,258,244,868/x
  3. Step 3: Cross multiply
    838,829,840x = 1,258,244,868 × 1,258,244,868
  4. Step 4: Simplify right side
    838,829,840x = 1,583,180,147,848,337,408
  5. Step 5: Solve for x
    x = 1,583,180,147,848,337,408/838,829,840
  6. Step 6: Final answer
    x = 1,887,367,464.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.